Article
Engineering, Multidisciplinary
Xueping Li, Chuhao Qin, Peng Wei, Cheng Su
Summary: This article introduces a boundary density evolutionary topology optimization method, which utilizes a material interpolation model and density grading filtering to achieve an optimal topology with only 0/1 cells. Compared to other methods, it eliminates the need for a penalty factor and allows for intermediate-density elements while still removing low-utilization materials.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Leijia Wang, Wenhui Yue, Mingqiao Zhu
Summary: In order to meet the needs of industrial production, an efficient improved evolution structural optimization (ESO) method is proposed. The method utilizes the windowed evolution structural optimization (WESO) method to design optimized variables with intermediate density for increased algorithm stability. A efficient calculation method for element node sensitivity is established, enabling the establishment of level set functions, smooth topological design of structures, and updating of design variables. The stability and effectiveness of the proposed algorithm is verified through numerical comparisons and application to a double-deck bridge structure.
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
(2023)
Article
Computer Science, Interdisciplinary Applications
Jichao Yin, Hu Wang
Summary: In this paper, a coupling reduction model-based evolutionary topology (CRMETO) method is proposed to improve the computational efficiency and obtain smooth boundary representation. By integrating high-fidelity multigrid conjugate gradient model and low-fidelity on-the-fly reduced order model, the coupling reduction model is used to reduce the computational complexity. The proposed method is validated and compared with various 2D and 3D examples, showing significant advantages in terms of efficiency as the model scale increases.
ADVANCES IN ENGINEERING SOFTWARE
(2023)
Article
Engineering, Multidisciplinary
Xiaoyan Teng, Qiang Li, Xudong Jiang
Summary: A smooth bidirectional evolutionary structural optimization (SBESO) is proposed for the topological optimization of vibrating continuum structures for natural frequencies and dynamic compliance. The SBESO method removes inefficient elements gradually from the design domain using a weighted function. The frequency optimization and dynamic stiffness optimization are formulated using the SBESO technique.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
(2023)
Article
Engineering, Multidisciplinary
Byeonghyeon Goh, H. Alicia Kim, Hayoung Chung
Summary: Topology optimization of thermoelastic structures is crucial for various engineering applications. Incorporating the finite strain theory is critical in designing structures that can withstand different thermoelastic loading conditions. This study investigates two energy-based objective functions, namely end compliance and strain energy, under thermomechanical conditions. The results show that the optimized layouts differ depending on the objective function selected, highlighting the significance of considering the thermal effects and structural nonlinearity.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Civil
Amr Nassr, Hamdy H. A. Abd-el-Rahim, Fayez Kaiser, Abd El-hady El-sokkary
Summary: Curved girders with box cross-sections are widely used in bridge construction to overcome geographical obstacles. This study focuses on the optimization of internal and external diaphragms in such girders to improve maintenance. Finite element models and topology optimization methods were used to find the optimal shapes of the diaphragms. The results showed that the optimized diaphragms performed better than solid plate diaphragms in terms of deformations and distortional stresses. Simplified versions of the optimized diaphragms were also tested for practicality.
ENGINEERING STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Masayuki Kishida, Takahiko Kurahashi
Summary: This article introduces a topology optimization method based on the density approach, and proposes a modified optimality criteria method that does not require arbitrary parameter settings. The method's reliability and utility were verified through topology optimization for 2D static and 3D static problems, and further applied to a 3D dynamic oscillation problem with clear and quick results.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Engineering, Mechanical
S. Koppen, M. Langelaar, F. van Keulen
Summary: Flexures are crucial in high-tech equipment for precise manipulation and measurement. This study proposes a novel topology optimization formulation for designing short-stroke flexures, based on strain energy measures. It demonstrates versatility in flexure types and additional design requirements.
MECHANISM AND MACHINE THEORY
(2022)
Article
Computer Science, Artificial Intelligence
Qijun Wang, Ping Liu, Lei Zhang, Fan Cheng, Jianfeng Qiu, Xingyi Zhang
Summary: This paper proposes a versatile and efficient quantization optimization method for image compression, based on multi-objective optimization and compatible with the JPEG standard. The method fully considers the rate-distortion optimal principle and provides multiple optimal solutions for applications with different rate requirements. Experimental results demonstrate the superiority of the proposed method in terms of solution distribution, coding efficiency, and computational complexity.
KNOWLEDGE-BASED SYSTEMS
(2022)
Article
Multidisciplinary Sciences
Peyman Lahe Motlagh, Adnan Kefal
Summary: This study compares the peridynamics-based topology optimization method with the classical finite element topology optimization approach for designing lightweight structures with/without cracks. The results show that PD-TO consistently provides lower strain energy than FEM-TO for optimum topology of cracked structures and ensures a better design of stiffer supports in the areas of cracks.
Article
Computer Science, Interdisciplinary Applications
D. C. Goncalves, J. D. F. Lopes, R. D. S. G. Campilho, J. Belinha
Summary: Topology optimization is a powerful computational tool for designing lightweight components in the additive manufacturing industry. While the Finite Element Method (FEM) is commonly used, this study explores the application of meshless methods in topology optimization. The combination of a bi-directional structural optimization algorithm and the Natural Neighbour Radial Point Interpolation Method (NNRPIM) is proposed and successfully implemented in the design of automotive lightweight components. This approach provides a solid technique for optimization algorithms and offers innovative design possibilities for additive manufacturing in the automotive industry.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Article
Computer Science, Artificial Intelligence
John Pillans
Summary: Design automation involves a trade-off between using expert knowledge to restrict possible solutions or spending time searching through solutions. This paper introduces an evolutionary search method for finding circuit topologies and component values, showing its effectiveness in simple problems and comparing the efficiency of different evolutionary search techniques. The proposed hybrid evolutionary method is found to be more efficient under certain conditions.
EXPERT SYSTEMS WITH APPLICATIONS
(2021)
Article
Thermodynamics
Mine Kaya, Shima Hajimirza
Summary: This study introduces a framework based on topology optimization to discover new nanoparticle designs for improved scattering. By maximizing the scattering cross section of the particle domain, increased scattering cross-section at the nanoscale is achieved, leading to improved light trapping efficiency.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2021)
Article
Computer Science, Artificial Intelligence
Chao Lyu, Yuhui Shi, Lijun Sun, Chin-Teng Lin
Summary: This article proposes a novel algorithm for community detection in multiplex networks. The algorithm decomposes the problem into two parts, detecting specific community partitions for each component layer and finding the composite community structure shared by all layers. Experimental results demonstrate that the algorithm outperforms classical and state-of-the-art algorithms in community detection on multiplex networks.
IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Xuyu Zhang, Yi Min Xie, Shiwei Zhou
Summary: This study proposes a nodal-based evolutionary design optimization algorithm for designing frame structures. By using Delaunay triangulation as the edge boundary, it extends the space of admissible solutions and reduces the number of design variables. Through sensitivity analysis and the method of moving asymptotes, the optimal structure can be obtained within a few iterations.
COMPUTER-AIDED CIVIL AND INFRASTRUCTURE ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Yafeng Chen, Fei Meng, Jie Zhu, Xiaodong Huang
Summary: The study introduces a BESO method to design photonic topological insulators with topological edge and corner states. By optimizing the photonic crystal, a topological phase transition is achieved to form highly localized edge and corner states. This new design route paves the way for practical applications.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Engineering, Multidisciplinary
Yongsheng Han, Bin Xu, Zunyi Duan, Xiaodong Huang
Summary: This paper proposes a new methodology for structural topology optimization that takes into account non-linear continuum damage for stress minimization design. A quasi-static non-local damage model is integrated into a linear finite element analysis to model the structural damage, and the Bi-directional Evolutionary Structural Optimization (BESO) method is used to address singularity issues. The effectiveness of the proposed method is demonstrated through numerical tests and comparison with stiffness maximization design.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Yongsheng Han, Bin Xu, Zunyi Duan, Xiaodong Huang
Summary: This paper proposes a topology optimization method for multi-material structures with graded interfaces to minimize the maximum von Mises stress. The method uses a filter-based approach to determine the locations and widths of the interfaces, and employs an extended Bi-directional Evolutionary Structural Optimization (BESO) method to avoid stress singularity. The effectiveness of the proposed method is validated through benchmark numerical examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Haoqing Ding, Bin Xu, Zunyi Duan, Weibai Li, Xiaodong Huang
Summary: This paper proposes a cascading multilevel optimization framework for fiber-reinforced composite structures, using non-uniform rational basis spline (NURBS) surfaces. The framework allows for control of structural topology, fiber angle distribution, and improves computational efficiency. By formulating and solving the optimization problem successively from a coarse mesh level to the finest mesh level, the computational cost is reduced while maintaining the design freedom and resolution. The NURBS surface also improves the continuity of local fiber angles and avoids the checkerboard phenomenon.
ENGINEERING WITH COMPUTERS
(2023)
Review
Materials Science, Multidisciplinary
Jiahui Li, Yvonne Durandet, Xiaodong Huang, Guangyong Sun, Dong Ruan
Summary: This paper comprehensively reviews the mechanical properties and deformation mechanisms of discontinuous and continuous fiber-reinforced composites fabricated by various additive manufacturing techniques. The effects of fiber type, orientation, weight/volume fraction, printing path, and stacking sequence on the mechanical properties of additively manufactured composites are discussed. Additionally, the applications of additively manufactured composites, the main challenges of current additive manufacturing techniques, and recommendations for future work are presented.
JOURNAL OF MATERIALS SCIENCE & TECHNOLOGY
(2022)
Article
Mechanics
Weibai Li, Xiaodong Huang
Summary: This paper develops a topology optimization algorithm for lightweight design of structures using multiple cellular materials. The algorithm incorporates the microstructures and homogenized mechanical properties of cellular materials into topology optimization. Numerical examples demonstrate the successful implementation of the algorithm by optimizing the distribution and selection of multiple cellular materials.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2022)
Article
Chemistry, Multidisciplinary
Fei Meng, Zhi-Kang Lin, Weibai Li, Peiguang Yan, Yun Zheng, Xinping Li, Jian-Hua Jiang, Baohua Jia, Xiaodong Huang
Summary: This study demonstrates the discovery of 2D surface states described by spin-1 Dirac equations at the interfaces between two sonic crystals with distinct topology but the same crystalline symmetry. The Dirac mass of these surface states can be tuned by the geometry of the crystals. The study also confirms the existence of zero refractive index behavior and emergent topological hinge states.
Article
Engineering, Multidisciplinary
Xiaodong Huang, Weibai Li
Summary: This paper proposes a three-field floating projection topology optimization (FPTO) method using linear material interpolation. The method enhances the formation of structural topology and can be extended to robust formulation. The effectiveness and advantage of the proposed method are demonstrated through numerical examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mechanics
Xiaolei Yan, Minchao Lai, Dengfeng Huang, Yong Zhang, Xiaodong Huang
Summary: This paper proposes a manufacturing-oriented topology optimization method for designing continuous fiber reinforced composite structures. The method optimizes both the fiber content and fiber orientation, achieving a smooth design with explicit boundary. To improve manufacturability, a fiber placement path fitting method based on the potential flow theory is proposed and embedded in the optimization procedure.
COMPOSITE STRUCTURES
(2023)
Article
Engineering, Mechanical
Tianbao Liang, Mu He, Hao-Wen Dong, Liang Xia, Xiaodong Huang
Summary: This research proposes a novel design strategy for ultrathin and highly efficient waterborne reflective pentamode metasurfaces to achieve uniform diffuse reflections in underwater scenes. A theoretical model is established to ease the demand on impedance matching and construct an ideal diffusion field. The spatially variant equivalent impedances of the metasurface are identified, and their corresponding pentamode material configurations are inversely designed with band structure analyses. Numerical results show high performance at the targeted frequency, and further verifications reveal applicability to a broader frequency range, paving the way for deep subwavelength scale acoustic wave manipulations with ultrathin waterborne metasurfaces.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Manufacturing
Verena Wulf, Ada Pui-yan Hung, Adi Hendler-Neumark, Weibai Li, Olga Shamis, Michael Gozin, Xiaodong Huang, Alan Kin Tak Lau, Gili Bisker
Summary: Noise pollution poses a threat to health and well-being, and its prevalence has been increasing. Incorporating fluorescent single-walled carbon nanotubes (SWCNTs) into epoxy resins can improve their sound-dampening capabilities. The DNA-SWCNT/epoxy composites showed the highest transmission loss, with an 18% improvement compared to epoxy alone, and the optimal concentration of DNA-SWCNT was found to be 2 mg L-1. Additionally, the near-infrared fluorescence of SWCNTs was utilized to characterize their distribution within the epoxy resin.
COMPOSITES PART A-APPLIED SCIENCE AND MANUFACTURING
(2023)
Article
Engineering, Civil
Khodamorad Nabaki, Jianhu Shen, Xiaodong Huang
Summary: Fatigue, an important failure criterion in engineering problems, has been considered in topology optimization. Different optimal topologies have been obtained based on different fatigue criteria. This paper explores the effect of different fatigue criteria on optimal designs using bi-directional evolutionary structural optimization and a modified p-norm approach. The results provide useful reference for engineers to design structures to avoid high frequency fatigue failure.
ENGINEERING STRUCTURES
(2023)
Article
Engineering, Mechanical
Xi Zhang, Xiaodong Huang, Guoxing Lu
Summary: In this study, a novel perforated Miura-ori phononic structure (PMPS) is introduced, and the tunability of complete or partial bandgaps in specific directions is investigated. The validity of the bandgaps is verified through simulation and experimental measurement of sound transmission loss in a three-dimensional printed Miura-ori panel. The results demonstrate extensive bandgap tunability of PMPS with different design parameters during deployments and folds. Additionally, potential applications of PMPS, such as programmable acoustic waveguides, are demonstrated. Lightweight PMPSs offer an attractive alternative for designing tunable, programmable, and reconfigurable acoustic structures, including sound waveguides, sound barriers, and broadband wave tailors.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Engineering, Mechanical
Gengwang Yan, Yingli Li, Xiaodong Huang, Song Yao, Wenxi Zhou
Summary: A multi-objective topological optimization method for elastic metaplates (EMPs) is proposed, combining the non-dominated sorting genetic algorithm-II (NSGA-II) and the improved fast plane wave expansion method (IFPWEM) to achieve high efficiency and accuracy in lightweight and bandgap characteristics. The results show that initial designs with concentrated scatterers can produce more structurally diverse Pareto front solutions. The appropriate mesh resolution and number of iterations are determined based on convergence and computational costs. A post-processing method is proposed to improve manufacturability and achieve convergence earlier, and the method demonstrates improved bandgap characteristics compared to conventional unit cells.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Engineering, Multidisciplinary
Tao Xu, Xiaodong Huang, Xiaoshan Lin, Yi Min Xie
Summary: In this study, an innovative algorithm that utilizes a linear material interpolation scheme is introduced to maximize the buckling resistance of structures. The linear material model offers advantages such as eliminating the need to select penalization schemes and penalty values, facilitating straightforward sensitivity analysis, and removing the ambiguous physical meaning of penalization for the stress stiffness matrix. The proposed approach is supported by examples, demonstrating its effectiveness and efficiency.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Akshay J. Thomas, Mateusz Jaszczuk, Eduardo Barocio, Gourab Ghosh, Ilias Bilionis, R. Byron Pipes
Summary: We propose a physics-guided transfer learning approach to predict the thermal conductivity of additively manufactured short-fiber reinforced polymers using micro-structural characteristics obtained from tensile tests. A Bayesian framework is developed to transfer the thermal conductivity properties across different extrusion deposition additive manufacturing systems. The experimental results demonstrate the effectiveness and reliability of our method in accounting for epistemic and aleatory uncertainties.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Zhen Zhang, Zongren Zou, Ellen Kuhl, George Em Karniadakis
Summary: In this study, deep learning and artificial intelligence were used to discover a mathematical model for the progression of Alzheimer's disease. By analyzing longitudinal tau positron emission tomography data, a reaction-diffusion type partial differential equation for tau protein misfolding and spreading was discovered. The results showed different misfolding models for Alzheimer's and healthy control groups, indicating faster misfolding in Alzheimer's group. The study provides a foundation for early diagnosis and treatment of Alzheimer's disease and other misfolding-protein based neurodegenerative disorders using image-based technologies.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jonghyuk Baek, Jiun-Shyan Chen
Summary: This paper introduces an improved neural network-enhanced reproducing kernel particle method for modeling the localization of brittle fractures. By adding a neural network approximation to the background reproducing kernel approximation, the method allows for the automatic location and insertion of discontinuities in the function space, enhancing the modeling effectiveness. The proposed method uses an energy-based loss function for optimization and regularizes the approximation results through constraints on the spatial gradient of the parametric coordinates, ensuring convergence.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Bodhinanda Chandra, Ryota Hashimoto, Shinnosuke Matsumi, Ken Kamrin, Kenichi Soga
Summary: This paper proposes new and robust stabilization strategies for accurately modeling incompressible fluid flow problems in the material point method (MPM). The proposed approach adopts a monolithic displacement-pressure formulation and integrates two stabilization strategies to ensure stability. The effectiveness of the proposed method is validated through benchmark cases and real-world scenarios involving violent free-surface fluid motion.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Chao Peng, Alessandro Tasora, Dario Fusai, Dario Mangoni
Summary: This article discusses the importance of the tangent stiffness matrix of constraints in multibody systems and provides a general formulation based on quaternion parametrization. The article also presents the analytical expression of the tangent stiffness matrix derived through linearization. Examples demonstrate the positive effect of this additional stiffness term on static and eigenvalue analyses.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Thibaut Vadcard, Fabrice Thouverez, Alain Batailly
Summary: This contribution presents a methodology for detecting isolated branches of periodic solutions to nonlinear mechanical equations. The method combines harmonic balance method-based solving procedure with the Melnikov energy principle. It is able to predict the location of isolated branches of solutions near families of autonomous periodic solutions. The relevance and accuracy of this methodology are demonstrated through academic and industrial applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Weisheng Zhang, Yue Wang, Sung-Kie Youn, Xu Guo
Summary: This study proposes a sketch-guided topology optimization approach based on machine learning, which incorporates computer sketches as constraint functions to improve the efficiency of computer-aided structural design models and meet the design intention and requirements of designers.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Leilei Chen, Zhongwang Wang, Haojie Lian, Yujing Ma, Zhuxuan Meng, Pei Li, Chensen Ding, Stephane P. A. Bordas
Summary: This paper presents a model order reduction method for electromagnetic boundary element analysis and extends it to computer-aided design integrated shape optimization of multi-frequency electromagnetic scattering problems. The proposed method utilizes a series expansion technique and the second-order Arnoldi procedure to reduce the order of original systems. It also employs the isogeometric boundary element method to ensure geometric exactness and avoid re-meshing during shape optimization. The Grey Wolf Optimization-Artificial Neural Network is used as a surrogate model for shape optimization, with radar cross section as the objective function.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
C. Pilloton, P. N. Sun, X. Zhang, A. Colagrossi
Summary: This paper investigates the smoothed particle hydrodynamics (SPH) simulations of violent sloshing flows and discusses the impact of volume conservation errors on the simulation results. Different techniques are used to directly measure the particles' volumes and stabilization terms are introduced to control the errors. Experimental comparisons demonstrate the effectiveness of the numerical techniques.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Ye Lu, Weidong Zhu
Summary: This work presents a novel global digital image correlation (DIC) method based on a convolution finite element (C-FE) approximation. The C-FE based DIC provides highly smooth and accurate displacement and strain results with the same element size as the usual finite element (FE) based DIC. The proposed method's formulation and implementation, as well as the controlling parameters, have been discussed in detail. The C-FE method outperformed the FE method in all tested examples, demonstrating its potential for highly smooth, accurate, and robust DIC analysis.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Mojtaba Ghasemi, Mohsen Zare, Amir Zahedi, Pavel Trojovsky, Laith Abualigah, Eva Trojovska
Summary: This paper introduces Lung performance-based optimization (LPO), a novel algorithm that draws inspiration from the efficient oxygen exchange in the lungs. Through experiments and comparisons with contemporary algorithms, LPO demonstrates its effectiveness in solving complex optimization problems and shows potential for a wide range of applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jingyu Hu, Yang Liu, Huixin Huang, Shutian Liu
Summary: In this study, a new topology optimization method is proposed for structures with embedded components, considering the tension/compression asymmetric interface stress constraint. The method optimizes the topology of the host structure and the layout of embedded components simultaneously, and a new interpolation model is developed to determine interface layers between the host structure and embedded components.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Qiang Liu, Wei Zhu, Xiyu Jia, Feng Ma, Jun Wen, Yixiong Wu, Kuangqi Chen, Zhenhai Zhang, Shuang Wang
Summary: In this study, a multiscale and nonlinear turbulence characteristic extraction model using a graph neural network was designed. This model can directly compute turbulence data without resorting to simplified formulas. Experimental results demonstrate that the model has high computational performance in turbulence calculation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jacinto Ulloa, Geert Degrande, Jose E. Andrade, Stijn Francois
Summary: This paper presents a multi-temporal formulation for simulating elastoplastic solids under cyclic loading. The proper generalized decomposition (PGD) is leveraged to decompose the displacements into multiple time scales, separating the spatial and intra-cyclic dependence from the inter-cyclic variation, thereby reducing computational burden.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Utkarsh Utkarsh, Valentin Churavy, Yingbo Ma, Tim Besard, Prakitr Srisuma, Tim Gymnich, Adam R. Gerlach, Alan Edelman, George Barbastathis, Richard D. Braatz, Christopher Rackauckas
Summary: This article presents a high-performance vendor-agnostic method for massively parallel solving of ordinary and stochastic differential equations on GPUs. The method integrates with a popular differential equation solver library and achieves state-of-the-art performance compared to hand-optimized kernels.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
